Reconstruction of manifolds and subsets of normed spaces from subgroups of their homeomorphism groups

Matatyahu Rubin; Yosef Yomdin

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arXiv · math/0510118

Reconstruction of manifolds and subsets of normed spaces from subgroups of their homeomorphism groups

Matatyahu Rubin·Yosef Yomdin

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Abstract

We prove various reconstruction theorems about open subsets of normed spaces. E.g. if the uniformly continuous homeomorphism groups of two such sets are isomorphic, then this isomorphism is induced by a uniformly continuous homeomorphism between these open sets.

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Matatyahu Rubin, Yosef Yomdin. 2005-10-06. Reconstruction of manifolds and subsets of normed spaces from subgroups of their homeomorphism groups. https://arxiv.org/abs/math/0510118

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